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Book synopsis

Odnim iz vazhnyh klassov uravnenij smeshannogo tipa yavlyaetsya uravnenie vida Lu=-k(y) u_xx-u_yy+a(y) u_x+c(y)u=f(x,y). Vopros o razreshimosti kraevyh zadach dlya nelinejnogo obobshheniya dannogo uravneniya s proizvol'nym povedeniem kojefficientov a(u) i s(u) eshhe ne rassmatrivalsya. Nastoyashhaya rabota imeet cel'ju razrabotat' metody izucheniya kraevyh zadach dlya dannogo uravneniya, soderzhashhego special'nym obrazom zavisyashhih ot resheniya u(x,y) mladshie kojefficienty. V nej obsuzhdajutsya kak sluchaj pryamougol'nika, tak i sluchaj beskonechnoj polosy zadaniya uravneniya, prichem razrabatyvaemye nami metody naceleny na to, chto vse nalagaemye pri jetom ogranicheniya na kojefficienty v chastnom linejnom sluchae sovpali s izvestnymi usloviyami. Vazhnym dostoinstvom metoda yavlyaetsya to, chto on daet vozmozhnost' ustanovit' dvustoronnjuju ocenku poperechnikov po Kolmogorovu mnozhestva reshenij nelinejnoj kraevoj zadachi, perevodimogo operatorom zadachi v shar konechnogo radiusa.

Book details

• Full title: Differencial'nye uravneniya smeshannogo tipa
• Subtitle: Sushhestvovanie resheniya na ploskosti
• Author: Ajgul' Imanbaeva
• Language: Russian
• Binding: Paperback
• Number of pages: 96
• EAN: 9783659775338
• ID: 09882245
• Publisher: LAP Lambert Academic Publishing
• Weight: 159 g
• Dimensions: 220 × 150 × 6 mm
• Date of publishing: 22. September 2015

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